# NCERT Class 12 Maths Solution

## NCERT Solutions for Class 12 Maths

CHAPTER-13: PROBABILITY

**Probability – summary**: Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution, mean and variance of random variable. Repeated independent (Bernoulli) trials and Binomial distribution.

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**Chapter -13: Probability**

Probability can take you thru the vital ideas of probability of an occurrence only if another event has occurred, which is able to successively clarify the theorem, multiplication rule of probability and independence of events. With a complete of 5 exercises, you may conjointly learn a crucial conception of random variable and its probability distribution and also the mean and variance of a probability distribution.

The topics and sub-topics in **Chapter 13 Probability**

13.1 **Introduction**

13.2 **Conditional Probability**

13.2.1 **Properties of Conditional Probability**

13.3 **Multiplication Theorem on Probability**

13.4 **Independent Events**

13.5 **Baye’s Theorem**

13.5.1 **Partition of a Sample Space**

13.5.2 **Theorem of total Probability**

13.6 **Random Variables and its Probability Distributions**

13.6.1 **Probability Distribution of a Random Variable**

13.6.2 **Mean of a Random Variable**

13.6.3** Variance of a Random Variable**

13.7 **Bernoulli’s Trials and Binomial Distribution**

13.7.1 **Bernoulli Trials**

13.7.2 **Binomial Distribution**